Does Tablo connect to my TV?

No, Tablo streams live TV and recordings over your home network through Apple TV app (4th gen) or using AirPlay, Roku (as a channel) or Chromecast (streaming via dongle to HDMI port) which connects to your TV, Amazon Fire TV (the app) or the Android TV (app). You can also download the Tablo app for select Samsung TIZEN and LG WebOS Smart TVs.